Find the shortest distance between two lines l1 and l2 whose vector equations is given below.\(\vec{r}=3\hat{i}-4\hat{j}+2\hat{k}+λ(4\hat{i}+\hat{j}+\hat{k})\) \(\vec{r}=5\hat{i}+\hat{j}-\hat{k}+μ(2\hat{i}-\hat{j}-3\hat{k})\)

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MCQs on direction cosines and line ratios, line equation in space, angle and shortest distance b/w two lines, plane, angle b/w two planes, two lines coplanarity, point distance from plane, angle b/w line and plane.


Find the shortest distance between two lines l<sub>1</sub> and l<sub>2</sub> whose vector equations is given below.<br />\(\vec{r}=3\hat{i}-4\hat{j}+2\hat{k}+λ(4\hat{i}+\hat{j}+\hat{k})\) <br />\(\vec{r}=5\hat{i}+\hat{j}-\hat{k}+μ(2\hat{i}-\hat{j}-3\hat{k})\)